The position vector of a particle at time t t\,t seconds is r=(2t3−9t2+12t)i+(t2−4t)j\mathbf r=(2t^3-9t^2+12t)\mathbf i+(t^2-4t)\mathbf jr=(2t3−9t2+12t)i+(t2−4t)j metres, where t≥0t\geq0t≥0.
Find the time at which the particle is instantaneously at rest.
Find its acceleration at that time.
61 exam-style questions on CCEA A Level Maths 4.1.1 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.